If `y=2x` is a chord of the circle `x^2+y^2-10 x=0` , find the equation of a circle with this chord as diameter.

y=2x be a chord of the circle x^(2) +y^(2)=20x . Find the equation of a circle whose diameter is this chord.

If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8=0 , find the equation of the circle having as diameter.

The equation of the circle and its chord are respectively x^2 + y^2 = a^2 and x + y = a . The equation of circle with this chord as diameter is : (A) x^2 + y^2 + ax + ay + a^2 = 0 (B) x^2 + y^2 + 2ax + 2ay = 0 (C) x^2 + y^2 - ax - ay = 0 (D) ax^2 + ay^2 + x + y = 0

A variable chord is drawn through the origin to the circle x^2+y^2-2a x=0 . Find the locus of the center of the circle drawn on this chord as diameter.

The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find equation of circle with AB as a diameter.

If the line x-ay=5 is a chord of the parabola y^(2) = 20x, then the circle with this chord as diamerte will always touch the line

The line 2x -y +6= 0 meets the circle x^2+y^2 -2y-9 =0 at A and B. Find the equation of the circle on AB as diameter.

The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Show that the equation of the circle with AB as diameter is x^(2)+y^(2)-x-y=0 .

If y=mx be the equation of a chord of the circle prove that the circle of which this chord is the diameter is (1+m^2)(x^2+y^2)-2a(x+my)=0

The abscissa and ordinates of the endpoints Aa n dB of a focal chord of the parabola y^2=4x are, respectively, the roots of equations x^2-3x+a=0 and y^2+6y+b=0 . Then find the equation of the circle with A B as diameter.